What is the Greatest Common Factor of 51925 and 51945?

Greatest common factor (GCF) of 51925 and 51945 is 5.

GCF(51925,51945) = 5

We will now calculate the prime factors of 51925 and 51945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51925 and 51945.

How to find the GCF of 51925 and 51945?

We will first find the prime factorization of 51925 and 51945. After we will calculate the factors of 51925 and 51945 and find the biggest common factor number .

Step-1: Prime Factorization of 51925

Prime factors of 51925 are 5, 31, 67. Prime factorization of 51925 in exponential form is:

51925 = 5² × 31¹ × 67¹

Step-2: Prime Factorization of 51945

Prime factors of 51945 are 3, 5, 3463. Prime factorization of 51945 in exponential form is:

51945 = 3¹ × 5¹ × 3463¹

Step-3: Factors of 51925

List of positive integer factors of 51925 that divides 51925 without a remainder.

1, 5, 25, 31, 67, 155, 335, 775, 1675, 2077, 10385

Step-4: Factors of 51945

List of positive integer factors of 51945 that divides 51925 without a remainder.

1, 3, 5, 15, 3463, 10389, 17315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51925 and 51945. The biggest common factor number is the GCF number.
So the greatest common factor 51925 and 51945 is 5.

Also check out the Least Common Multiple of 51925 and 51945